fraction(N1, D1) \div fraction(N2, D2) = {?}
Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.
The reciprocal of fraction(N2, D2)
is fraction(D2, N2)
.
Therefore:
\qquad
fraction(N1, D1) \div fraction(N2, D2) =
fraction(N1, D1) \times fraction(D2, N2)
\phantom{\qquad fraction(N1, D1) \div fraction(N2, D2)} =
\dfrac{N1 \times -D2}{D1 \times abs(N2)}
\phantom{\qquad fraction(N1, D1) \div fraction(N2, D2)} =
fraction(NUMERATOR, DENOMINATOR)
Simplify:
\qquadfractionReduce(NUMERATOR, DENOMINATOR)